Muslim servants of the Crown. Read this post at Albion's Seedlings by Helen Szamuely arguing that Muslims once had "an honoured place in the narrative of the British Empire and Commonwealth" that has been supressed for different reasons both in the Indian subcontinent and in the UK, read the essay by Mihir Bose it links to, and above all read this comment by David Billington:

The role models for the majority of young Muslims in Britain should be the non-conforming religious minorities who played such a powerful role in the British industrial revolution. It is true that these people were mostly Christian but they suffered formal discrimination until the 19th century. They were imbued with Enlightenment ideas about nature, science, technology, and progress and they played vital roles in the abolition of slavery and a raft of other reforms while leading lives of modesty and probity. Although they were active in proselytism abroad, they did not seek religious confrontation at home and tried instead to bear witness to their faith by example.

As I said in the comments there, this type of role model offers something more positive than merely fitting in.